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Finding the Fourth Proportional to 13,440, 18,547.20 and 7,552

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Solution

The fourth proportional to 13,440, 18,547.20 and 7,552 is: 10,421.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,440 : 18,547.20 = 7,552 : x
  2. Step 2: Convert to fraction form
    13,440/18,547.20 = 7,552/x
  3. Step 3: Cross multiply
    13,440x = 18,547.20 × 7,552
  4. Step 4: Simplify right side
    13,440x = 140,068,454.40
  5. Step 5: Solve for x
    x = 140,068,454.40/13,440
  6. Step 6: Final answer
    x = 10,421.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.